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Finding the Fourth Proportional to 342.27, 514.40 and 284.87

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Solution

The fourth proportional to 342.27, 514.40 and 284.87 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.27 : 514.40 = 284.87 : x
  2. Step 2: Convert to fraction form
    342.27/514.40 = 284.87/x
  3. Step 3: Cross multiply
    342.27x = 514.40 × 284.87
  4. Step 4: Simplify right side
    342.27x = 146,533.13
  5. Step 5: Solve for x
    x = 146,533.13/342.27
  6. Step 6: Final answer
    x = 428.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.